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Why is the eccentricity of a catenary equal to sqrt(2)?
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I understand that eccentricity defines how circular a conic section is... but a catenary isn't a conic section - so why is its eccentricity equal to that of a rectangular hyperbola: $sqrt 2$ ? How does it have an eccentricity in the first place?
Are there other figures that aren't conics that still has an eccentricity?
algebraic-geometry conic-sections
asked Jan 23 at 5:39
Maxim WinterMaxim Winter
1
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add a comment |
$begingroup$
I understand that eccentricity defines how circular a conic section is... but a catenary isn't a conic section - so why is its eccentricity equal to that of a rectangular hyperbola: $sqrt 2$ ? How does it have an eccentricity in the first place?
Are there other figures that aren't conics that still has an eccentricity?
algebraic-geometry conic-sections
asked Jan 23 at 5:39
Maxim WinterMaxim Winter
1
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Where did you read about this eccentricity?
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– Aretino
Jan 23 at 16:28
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I read about this eccentricity here: fxsolver.com/browse/formulas/Catenary+curve
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– Maxim Winter
Jan 24 at 6:02
add a comment |
$begingroup$
I understand that eccentricity defines how circular a conic section is... but a catenary isn't a conic section - so why is its eccentricity equal to that of a rectangular hyperbola: $sqrt 2$ ? How does it have an eccentricity in the first place?
Are there other figures that aren't conics that still has an eccentricity?
algebraic-geometry conic-sections
asked Jan 23 at 5:39
Maxim WinterMaxim Winter
1
$endgroup$
I understand that eccentricity defines how circular a conic section is... but a catenary isn't a conic section - so why is its eccentricity equal to that of a rectangular hyperbola: $sqrt 2$ ? How does it have an eccentricity in the first place?
Are there other figures that aren't conics that still has an eccentricity?
algebraic-geometry conic-sections
algebraic-geometry conic-sections
asked Jan 23 at 5:39
Maxim WinterMaxim Winter
1
asked Jan 23 at 5:39
Maxim WinterMaxim Winter
1
asked Jan 23 at 5:39
Maxim WinterMaxim Winter
1
asked Jan 23 at 5:39
Maxim WinterMaxim Winter
1
asked Jan 23 at 5:39
Maxim WinterMaxim Winter
1
1
$begingroup$
Where did you read about this eccentricity?
$endgroup$
– Aretino
Jan 23 at 16:28
$begingroup$
I read about this eccentricity here: fxsolver.com/browse/formulas/Catenary+curve
$endgroup$
– Maxim Winter
Jan 24 at 6:02
add a comment |
$begingroup$
Where did you read about this eccentricity?
$endgroup$
– Aretino
Jan 23 at 16:28
$begingroup$
I read about this eccentricity here: fxsolver.com/browse/formulas/Catenary+curve
$endgroup$
– Maxim Winter
Jan 24 at 6:02
$begingroup$
Where did you read about this eccentricity?
$endgroup$
– Aretino
Jan 23 at 16:28
$begingroup$
Where did you read about this eccentricity?
$endgroup$
– Aretino
Jan 23 at 16:28
$begingroup$
I read about this eccentricity here: fxsolver.com/browse/formulas/Catenary+curve
$endgroup$
– Maxim Winter
Jan 24 at 6:02
$begingroup$
I read about this eccentricity here: fxsolver.com/browse/formulas/Catenary+curve
$endgroup$
– Maxim Winter
Jan 24 at 6:02
add a comment |
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$begingroup$
Where did you read about this eccentricity?
$endgroup$
– Aretino
Jan 23 at 16:28
$begingroup$
I read about this eccentricity here: fxsolver.com/browse/formulas/Catenary+curve
$endgroup$
– Maxim Winter
Jan 24 at 6:02